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Finding the Third Proportional to 30,914 and 63,364

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Solution

The third proportional to 30,914 and 63,364 is: 129,876.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914 : 63,364 = 63,364 : x
  2. Step 2: Convert to fraction form
    30,914/63,364 = 63,364/x
  3. Step 3: Cross multiply
    30,914x = 63,364 × 63,364
  4. Step 4: Simplify right side
    30,914x = 4,014,996,496
  5. Step 5: Solve for x
    x = 4,014,996,496/30,914
  6. Step 6: Final answer
    x = 129,876.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.